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Comparing two populations
These notes relate with the chapter 9 of your text book.
AUTHOR: ATUL ROY
We are going to look at comparison of two population means. We shall do very basic level calculations,
to understand the idea because in practice mostly su

Continuous Probability Distributions:
Author: Atul Roy
Example 1:
There are 5 employees in a unit.
Random Variable:
# of employees present in a unit on a given day
0
1
2
3
4
5
such a random variable is called discrete random variable
Example 2:
The temper

Lesson 3
THE REVISIONS ARE INDICATED BY THE RED UNDERLINES.
Atul Roy
Please read the chapters3 and4.
We are going to review
examples.
probability
concepts with the use of simple
Example 1.
If we roll an ordinary six faced die, what is the probability that

Lesson II
Author Atul Roy
Measures of Center and Spread
Now that we have learned a few ways of displaying and organizing a data, the
following examples will help you review the methods of summarizing a data set
with a few numbers.
Example 1.
When looking

The distribution of the sample means.
In this lesson, we shall consider the cases where the population is at least 20 times
larger than the size of the sample.
For example:
If we take a simple random sample of size 30 from the employees
of a large corpora

I am going to go over the procedures for making boxplots
and histogram with the use PHSTAT.
I am going to go over just the procedure and am not
discussing any explanations of the output in this note.
We are going to look at Excel files of the Billionaires

An auto insurance agency was in investigating accident rates for
drivers in different age groups. The following contingency provides
a joint probability distribution for drivers by age group and the
accident rate.
Number of accidents
in past three years
A

Example:
An airport limo service has experienced that the probability that a passenger with conform booking will
actually use the service is 0.93
An van of the service can carry 8 passengers.
The van is fully booked.
If the passenger decisions are indepen

Assignment 3
1. A) Two balanced dice are rolled to see the number of dots facing up.
Find the probability of observing
i)
six dots on both the dice.
ii)
six dots on the first die or six dots on the second die.
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,

Let us look at another tool that will help as compare population
proportions for more than two populations.
Chi Square Distribution Introduction and Applications
Atul N Roy
The Chi Square distribution is a probability distribution, where the
random variab